Question

answer each question below. are figure a and figure b congruent? yes no which transformation will map figure a onto figure b exactly? translate figure a to the right 6 units translate figure a up 6 units reflect figure a over the x - axis reflect figure a over the y - axis rotate figure a clockwise 90° about the origin rotate figure a counterclockwise 180° about the origin none of these are figure c and figure d congruent? yes no which transformation will map figure c onto figure d exactly? translate figure c to the left 4 units translate figure c down 4 units reflect figure c over the x - axis reflect figure c over the y - axis rotate figure c clockwise 180° about the origin rotate figure c counterclockwise 90° about the origin none of these

Explanation:

Step1: Check congruence of Figure A and Figure B

Congruent figures have the same shape and size. By visual inspection, Figure A and Figure B have the same shape and size. So, they are congruent.

Step2: Determine transformation from Figure A to Figure B

Reflecting Figure A over the \(y -\)axis will map it onto Figure B.

Step3: Check congruence of Figure C and Figure D

By visual inspection, Figure C and Figure D have the same shape and size. So, they are congruent.

Step4: Determine transformation from Figure C to Figure D

Reflecting Figure C over the \(x -\)axis will map it onto Figure D.

Answer:

• Are Figure A and Figure B congruent? Yes
• Which transformation will map Figure A onto Figure B exactly? Reflect Figure A over the \(y -\)axis
• Are Figure C and Figure D congruent? Yes
• Which transformation will map Figure C onto Figure D exactly? Reflect Figure C over the \(x -\)axis